Answer:
7.5
Step-by-step explanation:
Given;
- Bert earns $35,000 gross annual salary
- Any amounts earned up to $20,000 are taxed at x%
- Any amounts earned beyond $20,000 are taxed at 20%
- Bert pays $4,500 per annum in income tax
To find x
Amount earned beyond $20,000
= $35,000 - $20,000
= $15,000
That is the amount to be taxed at 20%
Therefore,
x% × 20000 + 20% × 15000 = 4500
200x + 3000 = 4500
200x = 4500 - 3000
200x = 1500
x = 1500/200
x = 7.5
Answer:
<em>P=7.75t+13</em>
<em>t = 19 weeks</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict future behaviors.
The linear function can be expressed in the slope-intercept format:
y = mx + b
Another equation of the line can be used when two points are given.
The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

The population of beetles is a situation where we must apply linear modeling. Two points are given. For time t=0, the population is P=13. The point is (0,13). For time t=8, P=75. The point is (8,75).
Find the equation of the line:




The explicit formula is:
P = 7.75t + 13
Now we find when the beetle population is 161:
161 = 7.75t + 13
161 - 13 = 7.75t
7.75t = 148
t = 148/7.75
t = 19 weeks
I’ve attached my work below for #4
5) 8% is equivalent to 8 cents so each item was $1.08
Than you know he spent 16.20 so you divided
1.08/16.20 which equals 15
So he got 15 items
6) the moon is 250,000 miles away which is about driving around earth 10 times which would take 6 months (not sure about this one)
Hope this helps!
Have a nice day :)
The cosine of 30° is √3 / 2.
Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.
The cosine of 45° is √2 / 2.
Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C